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Description

Teacher Fox and Glare, along with $4$ other children, are playing a game of "Eagle Catches Chicks". Teacher Fox is the eagle, the first child in line is the "mother hen", and the other $4$ children are the "chicks". However, being the "mother hen" is tiring, so after a while, the "mother hen" needs to move to the end of the line to become a "chick", and the second child becomes the new "mother hen". Write a program to simulate this position change process for $10$ times.

Input Format

None.

Output Format

Output the positions for each change on a new line.

Sample

None

1: 1 2 3 4 5
2: 2 3 4 5 1
3: 3 4 5 1 2
4: 4 5 1 2 3
5: 5 1 2 3 4
6: 1 2 3 4 5
7: 2 3 4 5 1
8: 3 4 5 1 2
9: 4 5 1 2 3
10: 5 1 2 3 4